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4 papers · 1 filter
A branching diffusion model of selection: from the neutral Wright-Fisher case to the one including mutations
Thierry Huillet
We consider diffusion processes x_{t} on the unit interval. Doob-transformation techniques consist of a selection of x_{t}-paths procedure. The law of the transformed process is th…
Some theoretical results on semiconductor spherical quantum dots
Baptiste Billaud, T. T. Truong
We use an improved version of the standard effective mass approximation model to describe quantum effects in nanometric semiconductor Quantum Dots (QDs). This allows analytic compu…
Doubly-refined enumeration of Alternating Sign Matrices and determinants of 2-staircase Schur functions
Philippe Biane, Luigi Cantini, Andrea Sportiello
We prove a determinantal identity concerning Schur functions for 2-staircase diagrams lambda=(ln+l',ln,l(n-1)+l',l(n-1),...,l+l',l,l',0). When l=1 and l'=0 these functions are rela…
Competing HIV Strains and Immune System Response
Thierry Gobron, Mario Santoro, Livio Triolo
We consider a simple deterministic model which describes an asymmetric competition between an immune system with a specific and powerful response, and a virus with a broad toxicity…